The minimum of f(x) in the given interval is -16
How to find the minimum?
The minimum value is the slowest value that the function can take in the given interval.
Here the function is:
f(x) = 2x + 12
This is a linear function with a positive slope, so it is an increasing function.
This means taht the minimum will be at the smallest x-value in the given interval.
Here the interval is x = -14 to x= -6, the minimum x value there is x = -14, evaluating there the function we will get:
f(-14) = 2*-14 + 12 = -28 + 12 = -16
So the minimum is -16.